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Finding the Fourth Proportional to 5,309.67, 7,962.69 and 2,023.71

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Solution

The fourth proportional to 5,309.67, 7,962.69 and 2,023.71 is: 3,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.67 : 7,962.69 = 2,023.71 : x
  2. Step 2: Convert to fraction form
    5,309.67/7,962.69 = 2,023.71/x
  3. Step 3: Cross multiply
    5,309.67x = 7,962.69 × 2,023.71
  4. Step 4: Simplify right side
    5,309.67x = 16,114,175.38
  5. Step 5: Solve for x
    x = 16,114,175.38/5,309.67
  6. Step 6: Final answer
    x = 3,034.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.